Planetary Gears: Relationships Between Tooth Counts

[LINGA]

there is a relation between the no of teeth in ring gear,sun gear and plant gears are there(2R=S+P) Like that any relation between no teeth in plant and sun gears?

 

[felmon38]

there is a relation between the no of teeth in ring gear,sun gear and plant gears are there(2R=S+P) Like that any relation between no teeth in plant and sun gears?

Hi, as the pitch has to be the same, the n⁰ of teeths are proportional to the gear radius, so R=2P+S.

 

[jack action]

According to Wikipedia:

can be rewritten as

where

.